Curvature and conjugate points in Lorentz symmetric spaces

被引：0

作者：

María A. Cañadas-Pinedo

Ángel Díaz

Manuel Gutiérrez

Benjamín Olea

机构：

[1] Universidad de Málaga,Dpt. de Álgebra, Geometría y Topología

[2] IES José María Fernández. Carretera de Granada s/n,undefined

来源：

Annals of Global Analysis and Geometry | 2010年 / 37卷

关键词：

Lorentz symmetric space; Cahen–Wallach space; Conjugate point; Curvature; Primary 53C50; Secondary 53C35; 53C22;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give some relations between conjugate points and curvature in a locally symmetric Lorentzian manifold. In the compact case, we show that the sectional curvature of timelike planes is non positive, and the lightlike sectional curvature of null planes is non negative. We also compute the lightlike conjugate loci of Cahen–Wallach manifolds, which are an important family of symmetric Lorentzian spaces.

引用

页码：91 / 101

页数：10

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